Answer:
3
Step-by-step explanation:
Answer:a=-8
Step-by-step explanation:
4+7a=12+8a
So first you want to have the variables on the same side
4+7a-7a=12+8a-7a
This is how you got the 7a to the right side. Then you subtract 8a-7a So the equation becomes
4=12+a
Now there are two ways of doing this.
1. 4-12=12-12+a
You moved the 12 to the left side so you have the same variable on one side
4-12=-8
So then a=-8
Or
2. 4-4=12-4+a
0=8+a
then you would have to subtract 8 to keep 'a' by itself
-8=8-8+a
simplify it
-8=a
same thing
Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
Mark would have ran 6 miles if he ran 9.654 kilometers